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Finding the Fourth Proportional to 307,436.72, 458,098.89 and 273,899.08

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Solution

The fourth proportional to 307,436.72, 458,098.89 and 273,899.08 is: 408,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,436.72 : 458,098.89 = 273,899.08 : x
  2. Step 2: Convert to fraction form
    307,436.72/458,098.89 = 273,899.08/x
  3. Step 3: Cross multiply
    307,436.72x = 458,098.89 × 273,899.08
  4. Step 4: Simplify right side
    307,436.72x = 125,472,864,520.02
  5. Step 5: Solve for x
    x = 125,472,864,520.02/307,436.72
  6. Step 6: Final answer
    x = 408,125.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.